Depolarized Light Scattering by Simple Fluids

Gelbart, William M.

doi:10.1002/9780470143780.ch1

Cited by 129 publications

(3 citation statements)

References 120 publications

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“…where we have defined r ij = r i − r j . The last result can be generalized by the so-called superposition approximation 17,22,35 for α 3 as a function of α 2 ,…”

Section: Hamiltonians In An External Fieldmentioning

confidence: 99%

Path-integral calculation of the third virial coefficient of quantum gases at low temperatures

Garberoglio

Harvey

2011

The Journal of Chemical Physics

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We derive path-integral expressions for the second and third virial coefficients of monatomic quantum gases. Unlike previous work that considered only Boltzmann statistics, we include exchange effects (Bose-Einstein or Fermi-Dirac statistics). We use state-of-the-art pair and three-body potentials to calculate the third virial coefficient of (3)He and (4)He in the temperature range 2.6-24.5561 K. We obtain uncertainties smaller than those of the limited experimental data. Inclusion of exchange effects is necessary to obtain accurate results below about 7 K.

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“…where we have defined r ij = r i − r j . The last result can be generalized by the so-called superposition approximation 17,22,35 for α 3 as a function of α 2 ,…”

Section: Hamiltonians In An External Fieldmentioning

confidence: 99%

Path-integral calculation of the third virial coefficient of quantum gases at low temperatures

Garberoglio

Harvey

2011

The Journal of Chemical Physics

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“…At high enough densities, collision-induced light scattering (CILS) yields polarized and depolarized Raman spectra, which add to the opacity caused by Rayleigh scattering (Levine & Birnbaum 1968;Gelbart 1974;Frommhold 1981;Borysow & Frommhold 1989). CILS arises from the excess of polarizability induced in atomic collisions mainly through multipolar induction (electric fields surrounding an atom due to neighbor particles) and electronic overlap induction (distorsion of electronic charges and electron correlation effects in close encounters).…”

Section: Collision-induced Light Scatteringmentioning

confidence: 99%

Rayleigh scattering in dense fluid helium

Rohrmann

2017

Monthly Notices of the Royal Astronomical Society

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Iglesias et al. (2002) showed that the Rayleigh scattering from helium atoms decreases by collective effects in the atmospheres of cool white dwarf stars. Their study is here extended to consider an accurate evaluation of the atomic polarizability and the density effects involved in the Rayleigh cross section over a wide density-temperature region. The dynamic dipole polarizability of helium atoms in the ground state is determinated with the oscillator-strength distribution approach. The spectral density of oscillator strength considered includes most significant single and doubly excited transitions to discrete and continuum energies. Static and dynamic polarizability results are confronted with experiments and other theoretical evaluations shown a very good agreement. In addition, the refractive index of helium is evaluated with the LorentzLorenz equation and shows a satisfactory agreement with the most recent experiments. The effect of spatial correlation of atoms on the Rayleigh scattering is calculated with Monte Carlo simulations and effective energy potentials that represent the particle interactions, covering fluid densities between 0.005 and a few g/cm 3 and temperatures between 1000 K and 15000 K. We provide analytical fits from which the Rayleigh cross section of fluid helium can be easily calculated at wavelength λ > 505.35Å. Collision-induced light scattering was estimated to be the dominant scattering process at densities greater than 1-2 g/cm 3 depending on the temperature.

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“…It is a central quantity determining collision-induced absorption and depolarized Rayleigh and Raman scattering spectra [2,3]. Its knowledge also enables the calculation of the first encounter time distribution and survival probability of reactive molecules [4,5], and it has played an important role in the rigorous formulation of the diffusion-influenced bimolecular reaction kinetics [6,7].…”

Section: Introductionmentioning

confidence: 99%

Zwanzig-Mori equation for the time-dependent pair distribution function

2011

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We develop a microscopic theoretical framework for the time-dependent pair distribution function starting from the Liouville equation. An exact Zwanzig-Mori equation of motion for the time-dependent pair distribution function is derived based on the projection-operator formalism. It is demonstrated that, under the Markovian approximation, our equation reduces to the so-called telegraph equation that includes the potential of mean force acting between the pair particles. With the additional approximation neglecting the inertia term, our equation takes the form of Smoluchowski's equation, which has been previously introduced with intuitive arguments and shown to satisfactorily reproduce the simulation results of the particle-pair dynamics.

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Depolarized Light Scattering by Simple Fluids

Cited by 129 publications

References 120 publications

Path-integral calculation of the third virial coefficient of quantum gases at low temperatures

Path-integral calculation of the third virial coefficient of quantum gases at low temperatures

Rayleigh scattering in dense fluid helium

Zwanzig-Mori equation for the time-dependent pair distribution function

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